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57101232 = 243171929127
BaseRepresentation
bin1101100111010…
…0101110110000
310222110001011110
43121310232300
5104104214412
65355513320
71262231616
oct331645660
9128401143
1057101232
112a261001
1217158840
13baa3716
1478256b6
15502dd3c
hex3674bb0

57101232 has 160 divisors (see below), whose sum is σ = 171417600. Its totient is φ = 16257024.

The previous prime is 57101227. The next prime is 57101263. The reversal of 57101232 is 23210175.

It is a junction number, because it is equal to n+sod(n) for n = 57101199 and 57101208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 449553 + ... + 449679.

It is an arithmetic number, because the mean of its divisors is an integer number (1071360).

Almost surely, 257101232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57101232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85708800).

57101232 is an abundant number, since it is smaller than the sum of its proper divisors (114316368).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

57101232 is a wasteful number, since it uses less digits than its factorization.

57101232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 57101232 is about 7556.5357142013. The cubic root of 57101232 is about 385.0778096515.

The spelling of 57101232 in words is "fifty-seven million, one hundred one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 17 19 24 29 34 38 48 51 57 58 68 76 87 102 114 116 127 136 152 174 204 228 232 254 272 304 323 348 381 408 456 464 493 508 551 646 696 762 816 912 969 986 1016 1102 1292 1392 1479 1524 1653 1938 1972 2032 2159 2204 2413 2584 2958 3048 3306 3683 3876 3944 4318 4408 4826 5168 5916 6096 6477 6612 7239 7366 7752 7888 8636 8816 9367 9652 11049 11832 12954 13224 14478 14732 15504 17272 18734 19304 22098 23664 25908 26448 28101 28956 29464 34544 37468 38608 41021 44196 51816 56202 57912 58928 62611 69977 74936 82042 88392 103632 112404 115824 123063 125222 139954 149872 164084 176784 187833 209931 224808 246126 250444 279908 328168 375666 419862 449616 492252 500888 559816 656336 751332 839724 984504 1001776 1119632 1189609 1502664 1679448 1969008 2379218 3005328 3358896 3568827 4758436 7137654 9516872 14275308 19033744 28550616 57101232